
Test  significance test for:  test statistic  (observed"new")  (expected"old") 
(test) = 
  (standard error) 


ZTest  1 mean, normal, large sample size  z_{test} = (  µ)/(/(n)) 

TTest  1 mean, small sample, sigma unknown  t_{test} = (  µ)/(s/(n)) 

2 Sample ZTest  2 means  

2 Sample TTest  2 INDEPENDENT means  

2 Sample TTest  2 DEPENDENT means  

ANOVA Test  3 or more means using variances  

1 Proportion ZTest  1 proportion  

2 Proportion ZTest  2 proportions  

^{2} Test  discrete (catagories) Independence of Proportion Is the preference independent of the group? 
CREATE an EXPECTED (row,column) distribution. 

^{2} Test  discrete (catagories) Homogeneity of Proportions Are preferences of subgroups the same?  CREATE an EXPECTED (row,column) distribution. 

Linear Regression TTest  1 correlation coefficient, between x and y  

^{2} GOF Test  Goodness of Fit, match "test" distribution to another distribution  

^{2} GOF Test  Normality, match "test" distribution to a normal distribution  CREATE an EXPECTED distribution. 

^{2} Test  1 Variance  ^{2}_{test} = [(n1)s^{2}]/^{2} 

Two Sample F Test  2 variances  

Sign Test  1 median or 1 pair, as in (After)  (Before) >0 not very sensitive a test  

Wilcoxon MannWhitney Rank Sum Test 
2 distributions for symmetry, center, distribution of ranks with averaged ranks awarded to tied data points 


Wilcoxon SignedRankTest 
median of 2 distributions beforeafter small sample size, not nec. normal 
